Integral Representations for the Argument of the Gamma Function of a Complex Variable

Key Points

• The research aims to find new analytical representations of the gamma function at various points in the complex plane.
• Derived integral formulas of two types for the gamma function.
• Analyzed characteristic examples to illustrate the findings.
• New integral representations of the gamma function were established.
• Characteristic examples provide insights into the behavior of these representations in the complex plane.